Inversion of quadratures in the problem of two fixed centers

Mathematics – Dynamical Systems

Scientific paper

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Dynamical Systems, Quadratures, Three Dimensional Motion, Centers, Differential Equations, Polynomials, Weierstrass Functions

Scientific paper

The paper describes the derivation of explicit expressions for the
spheroidal coordinates as a function of tau as well as for the
three-dimensional motions in connection with quadrature inversion in the
problem of two fixed centers. A classification of motions is also
presented.

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